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Finding the Fourth Proportional to 447.77, 617.95 and 251.31

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Solution

The fourth proportional to 447.77, 617.95 and 251.31 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.77 : 617.95 = 251.31 : x
  2. Step 2: Convert to fraction form
    447.77/617.95 = 251.31/x
  3. Step 3: Cross multiply
    447.77x = 617.95 × 251.31
  4. Step 4: Simplify right side
    447.77x = 155,297.01
  5. Step 5: Solve for x
    x = 155,297.01/447.77
  6. Step 6: Final answer
    x = 346.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.